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123121431 = 334560053
BaseRepresentation
bin1110101011010…
…10111100010111
322120200012212000
413111222330113
5223004341211
620114530343
73023341416
oct725527427
9276605760
10123121431
1163553a54
12352969b3
131c67a924
14124cd47d
15ac20656
hex756af17

123121431 has 8 divisors (see below), whose sum is σ = 182402160. Its totient is φ = 82080936.

The previous prime is 123121417. The next prime is 123121447. The reversal of 123121431 is 134121321.

123121431 is a `hidden beast` number, since 1 + 231 + 2 + 1 + 431 = 666.

It is not a de Polignac number, because 123121431 - 25 = 123121399 is a prime.

It is a super-2 number, since 2×1231214312 = 30317773542975522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2280000 + ... + 2280053.

It is an arithmetic number, because the mean of its divisors is an integer number (22800270).

Almost surely, 2123121431 is an apocalyptic number.

123121431 is a deficient number, since it is larger than the sum of its proper divisors (59280729).

123121431 is an equidigital number, since it uses as much as digits as its factorization.

123121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560062 (or 4560056 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 123121431 is about 11096.0096881717. The cubic root of 123121431 is about 497.4825878774.

Adding to 123121431 its reverse (134121321), we get a palindrome (257242752).

The spelling of 123121431 in words is "one hundred twenty-three million, one hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 4560053 13680159 41040477 123121431